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Finding the Fourth Proportional to 38,177.25, 57,266.96 and 10,475.25

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Solution

The fourth proportional to 38,177.25, 57,266.96 and 10,475.25 is: 15,713.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,177.25 : 57,266.96 = 10,475.25 : x
  2. Step 2: Convert to fraction form
    38,177.25/57,266.96 = 10,475.25/x
  3. Step 3: Cross multiply
    38,177.25x = 57,266.96 × 10,475.25
  4. Step 4: Simplify right side
    38,177.25x = 599,885,670.36
  5. Step 5: Solve for x
    x = 599,885,670.36/38,177.25
  6. Step 6: Final answer
    x = 15,713.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.